Patterns in trees and quantum automorphism groups

Abstract We prove that given a fixed finite tree P , almost all trees contain P as a subtree. Moreover, the inclusion can be made so that it induces an embedding of the corresponding (quantum) automorphism groups, thereby providing generic properties of the latter.

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Publication Details

Journal
Archiv der Mathematik
Published
2026-06-26
DOI
https://doi.org/10.1007/s00013-026-02260-z
Primary Topic
Algebraic structures and combinatorial models
Type
preprint
Field-Weighted Citation Impact
0.00

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preprint

Patterns in trees and quantum automorphism groups

Lucas Alger, Julie Capron, Félix de la Salle
Archiv der Mathematik
Algebraic structures and combinatorial models
preprint

Patterns in trees and quantum automorphism groups

Lucas Alger, Julie Capron, Félix de la Salle
preprint en

Abstract

Abstract We prove that given a fixed finite tree P , almost all trees contain P as a subtree. Moreover, the inclusion can be made so that it induces an embedding of the corresponding (quantum) automorphism groups, thereby providing generic properties of the latter.

Archiv der Mathematik
Université Paris-Sud (FR), Centre National de la Recherche Scientifique (FR), Université Paris-Saclay (FR), Laboratoire de Mathématiques d'Orsay (FR)
Université Paris-Saclay
Openalex Percentile: Top 97%
Algebraic structures and combinatorial models
DOIOpen Access PDFOpenAlex
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